1211863284000 has 864 divisors, whose sum is σ = 4640384391552. Its totient is φ = 298945152000.

The previous prime is 1211863283963. The next prime is 1211863284001. The reversal of 1211863284000 is 4823681121.

1211863284000 is a `hidden beast` number, since 1 + 2 + 1 + 18 + 632 + 8 + 4 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×1211863284000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1211863284001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 795707239 + ... + 795708761.

It is an arithmetic number, because the mean of its divisors is an integer number (5370815268).

Almost surely, 2^{1211863284000} is an apocalyptic number.

1211863284000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1211863284000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2320192195776).

1211863284000 is an abundant number, since it is smaller than the sum of its proper divisors (3428521107552).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1211863284000 is a wasteful number, since it uses less digits than its factorization.

1211863284000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1639 (or 1587 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 1211863284000 in words is "one trillion, two hundred eleven billion, eight hundred sixty-three million, two hundred eighty-four thousand".